Find the Domain 3x-5(x+4)=-(x-7)

Problem

3*x−5*(x+4)=−(x−7)

Solution

1. Identify the type of equation provided. This is a linear equation in one variable, x

2. Analyze the expression for any restrictions. The domain of an equation or function consists of all possible input values for x that do not result in undefined operations.

3. Check for denominators. There are no variables in any denominators, so there is no risk of division by zero.

4. Check for even roots. There are no square roots or other even roots, so there is no risk of taking the root of a negative number.

5. Check for logarithms. There are no logarithmic functions, so there is no risk of taking the log of a non-positive number.

6. Conclude that since there are no restricted operations, the variable x can be any real number.

Final Answer

Domain: *(−∞,∞)

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